Vertex distinguishing IE-total chromatic numbers of complete bipartite graph K_(5,n)
Cheng Xiang-en · Journal of Shandong University · 2009
Let G be a simple graph.An IE-total coloring f of G refers to a coloring of the vertices and edges of G so that no two adjacent vertices receive the same color.Let C(u) be the set of colors of vertex u and edges incident to u under f.For an IE-total coloring f of G using k colors,if C(u)≠C(v) for any two different vertices u and v of V(G),then f is called a k-vertex-distinguishing IE-total-coloring of G,or a k-VDIET coloring of G for short.The minimum number of colors required for a VDIET coloring of G is denoted by χievt(G),and it is called the VDIET chromatic number of G.VDIET chromatic numbers for the complete bipartite graph K5,n(n≥6) were given.